What is 5/28 plus 2/3? (Answer: 71/84)

Exact Answer

==================================================
Problem: What is 5/28 plus 2/3?
Formula / Expression: 5/28 + 2/3
Final Answer: 71/84
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 28 and 3 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 28 × 3 = 84.
Working: LCD(28, 3) = 84

Step 2: Convert to Equivalent Fractions with Common Denominator 84
Multiply the numerator and denominator of 5/28 by 3, and multiply the numerator and denominator of 2/3 by 28 so both fractions share the common base 84.
Working: 5 × 3/28 × 3 = 15/84 and 2 × 28/3 × 28 = 56/84

Step 3: Add the Numerators
Now add the numerators (15 + 56 = 71) and keep the common denominator 84 unchanged.
Working: 15 + 56/84 = 71/84

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 71 and 84 is 1, confirming that 71/84 cannot be reduced further—it is already in its simplest irreducible form.
Working: 71/84

Step 5: Decimal & Percentage Representation
Dividing the numerator 71 by denominator 84 produces a repeating decimal (approximately 0.845238, or 84.5238%).
Working: 71 ÷ 84 = 0.845238 (84.5238%)

Key Values:
- Simplified Fraction: 71/84
- Mixed Number Form: 71/84
- Decimal Value: 0.845238
- Percentage: 84.5238%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-5-28-plus-2-3/
==================================================

5/28 + 2/3 = 71/84

Simplified Fraction

71/84

Mixed Number

Proper (71/84)

Decimal Value

0.845238

Percentage

84.5238%

Reduce / Convert Fraction:

Convert Fraction:

Enter Decimal Number:

Enter Percentage: %

What is % of

From Value: To Value:

Simplify Ratio: :

Switch to Proportion / Missing X Solver (A/B = C/D) →

Enter 3 known numbers and leave 1 empty (or type x) to solve:

← Switch to Ratio Simplifier (A:B)

Provide any 2 values below to calculate the remaining:

Price before discount

Discount

Price after discount

You saved

+ Add Sales Tax & Extra Coupon (Optional)

Sales Tax: % Extra Off: %

Provide any 2 values below to calculate the remaining:

Cost

Markup

REVENUE

Gross Profit

Profit Margin

Bill Subtotal

Tip Percentage

Split (People)

👥

Quick Tip:

Total Bill

Split Between

👥

Tip % (Optional)

Include Tip:

Total Price

Quantity

Unit of Measure

← Discount & Sales Tax • Ratio Simplifier (A:B) →

First Number: Second Number:

Find All Factors of:

Dividend: ÷ Divisor:

Number to Round: To Nearest:

Method: Standard (5+ ↑) Always Up (Ceil) Always Down (Floor)

Presets:

√ Square Root of: OR Power (x^y): ^{^}

x² + x + = 0

Number (n! & log):

Circle Radius (r):

Side a: Side b:

Angle (Degrees): °

Numbers (comma separated):

Total Items (n): Choose (r):

Decimal Number:

Number (1–3999):

Step-by-Step Solution: 5/28 + 2/3

Step 1

Find the Least Common Denominator (LCD)

The denominators 28 and 3 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 28 × 3 = 84.

LCD(28, 3) = 84

Step 2

Convert to Equivalent Fractions with Common Denominator 84

Multiply the numerator and denominator of 5/28 by 3, and multiply the numerator and denominator of 2/3 by 28 so both fractions share the common base 84.

5 × 3/28 × 3 = 15/84 and 2 × 28/3 × 28 = 56/84

Step 3

Add the Numerators

Now add the numerators (15 + 56 = 71) and keep the common denominator 84 unchanged.

15 + 56/84 = 71/84

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 71 and 84 is 1, confirming that 71/84 cannot be reduced further—it is already in its simplest irreducible form.

71/84

Step 5

Decimal & Percentage Representation

Dividing the numerator 71 by denominator 84 produces a repeating decimal (approximately 0.845238, or 84.5238%).

71 ÷ 84 = 0.845238 (84.5238%)

Visual Representation

The diagram below illustrates 5/28 plus 2/3 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`71/84`
Mixed Number Form	`71/84`
Decimal Form	`0.845238`
Percentage	`84.5238%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 5/28 plus 2/3 as a fraction?

5/28 + 2/3 in simplest fraction form is 71/84.

What is 5/28 plus 2/3 as a decimal?

5/28 + 2/3 converted to a decimal is 0.845238.

What is 5/28 plus 2/3 as a percentage?

5/28 + 2/3 expressed as a percentage is 84.5238%.

Does 5/28 plus 2/3 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.845238...) because the denominator contains prime factors other than 2 and 5.